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Finding the Fourth Proportional to 295,925.76, 408,378.24 and 161,798.40

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Solution

The fourth proportional to 295,925.76, 408,378.24 and 161,798.40 is: 223,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,925.76 : 408,378.24 = 161,798.40 : x
  2. Step 2: Convert to fraction form
    295,925.76/408,378.24 = 161,798.40/x
  3. Step 3: Cross multiply
    295,925.76x = 408,378.24 × 161,798.40
  4. Step 4: Simplify right side
    295,925.76x = 66,074,945,826.82
  5. Step 5: Solve for x
    x = 66,074,945,826.82/295,925.76
  6. Step 6: Final answer
    x = 223,282.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.